scholarly journals Approximate analytical solutions of the Klein–Gordon equation for the Hulthén potential with the position-dependent mass

2008 ◽  
Vol 79 (1) ◽  
pp. 015006 ◽  
Author(s):  
Altuğ Arda ◽  
Ramazan Sever ◽  
Cevdet Tezcan
Keyword(s):  
Analytical Solutions ◽  
Gordon Equation ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
Approximate Analytical Solutions ◽  
Klein Gordon ◽  
Dependent Mass ◽  
Position Dependent Mass ◽  
Klein Gordon Equation

Heavy quarkonium systems for the deformed unequal scalar and vector Coulomb–Hulthén potential within the deformed effective mass Klein–Gordon equation using the improved approximation of the centrifugal term and Bopp’s shift method in RNCQM symmetries

2021 ◽  
Author(s):  
Abdelmadjid Maireche
Keyword(s):  
Effective Mass ◽  
Gordon Equation ◽  
Energy State ◽  
Real Space ◽  
Heavy Quarkonium ◽  
Hulthén Potential ◽  
Shift Method ◽  
Hulthen Potential ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this study, the analytical solutions of the Klein–Gordon equation for any [Formula: see text] states of the modified effective mass potential under the modified unequal scalar and vector Coulomb–Hulthén potential (MUSVCH-P) are derived by using an approximation method to the centrifugal potential term in the symmetries of relativistic noncommutative three-dimensional real space (RNC: 3D-RS). The new analytical expressions for eigenvalues of the energy spectrum and the new mass of mesons, such as charmonium and bottomonium that have the quark and antiquark flavor, have been estimated by using Bopp’s shift method, and perturbation theory. The energy state equation depends on the global parameters characterizing the noncommutativity space and the potential parameter [Formula: see text] in addition to the Gamma function and the discreet atomic quantum numbers [Formula: see text]. The expression for the new energy spectra is applied to obtain the new mass spectra of heavy quarkonium systems (charmonium and bottomonium) in the symmetries of (RNC: 3D-RS). The comparisons show that our theoretical results are in very good agreement with the reported works.

scholarly journals Approximate Analytical Solutions of the Effective Mass Klein-Gordon Equation for Two Interacting Potentials

2018 ◽  
Vol 19 (1) ◽  
pp. 1
Author(s):  
Osarodion Ebomwonyi ◽  
Atachegbe Clement Onate ◽  
Michael C. Onyeaju ◽  
Joshua Okoro ◽  
Matthew Oluwayemi
Keyword(s):  
Effective Mass ◽  
Analytical Solutions ◽  
Gordon Equation ◽  
Approximate Analytical Solutions ◽  
Klein Gordon ◽  
Klein Gordon Equation
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